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Finding the Fourth Proportional to 8,400.74, 12,601.14 and 3,778.34

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Solution

The fourth proportional to 8,400.74, 12,601.14 and 3,778.34 is: 5,667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.74 : 12,601.14 = 3,778.34 : x
  2. Step 2: Convert to fraction form
    8,400.74/12,601.14 = 3,778.34/x
  3. Step 3: Cross multiply
    8,400.74x = 12,601.14 × 3,778.34
  4. Step 4: Simplify right side
    8,400.74x = 47,611,391.31
  5. Step 5: Solve for x
    x = 47,611,391.31/8,400.74
  6. Step 6: Final answer
    x = 5,667.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.